Solve 0.3(x+5)+0.6(x+25)=30

$$0.3 ( x + 5 ) + 0.6 ( x + 25 ) = 30$$

Solve for x

$$x=15$$

Steps for Solving Linear Equation

Use the distributive property to multiply 0.3 by x+5.

$$0.3x+1.5+0.6\left(x+25\right)=30$$

Use the distributive property to multiply 0.6 by x+25.

$$0.3x+1.5+0.6x+15=30$$

Combine 0.3x and 0.6x to get 0.9x.

$$0.9x+1.5+15=30$$

Add 1.5 and 15 to get 16.5.

$$0.9x+16.5=30$$

Subtract 16.5 from both sides.

$$0.9x=30-16.5$$

Subtract 16.5 from 30 to get 13.5.

$$0.9x=13.5$$

Divide both sides by 0.9.

$$x=\frac{13.5}{0.9}$$

Expand \frac{13.5}{0.9} by multiplying both numerator and the denominator by 10.

$$x=\frac{135}{9}$$

Divide 135 by 9 to get 15.

$$x=15$$